Stasyuk, S. A. Best \(m\)-term trigonometric approximation for the classes \(B_{p,\theta}^r\) of functions of low smoothness. (Russian, English) Zbl 1224.42007 Ukr. Mat. Zh. 62, No. 1, 104-111 (2010); translation in Ukr. Math. J. 62, No. 1, 114-122 (2010). Summary: We obtain an exact-order estimate for the best \(m\)-term trigonometric approximation of the Besov classes \(B_{p,\theta}^r\) of periodic functions of many variables of low smoothness in the space \(L_q,1<p\leq 2<q<\infty\). Cited in 1 Document MSC: 42A10 Trigonometric approximation Keywords:best trigonometric approximation; Besov classes of periodic functions; low smoothness PDFBibTeX XMLCite \textit{S. A. Stasyuk}, Ukr. Mat. Zh. 62, No. 1, 104--111 (2010; Zbl 1224.42007); translation in Ukr. Math. J. 62, No. 1, 114--122 (2010) Full Text: DOI